Mathematics
Scientific paper
May 1985
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985phrva..31.3332v&link_type=abstract
Physical Review A - General Physics, 3rd Series (ISSN 0556-2791), vol. 31, May 1985, p. 3332-3357. Research supported by the Mil
Mathematics
78
Branching (Mathematics), Chaos, Nonlinear Systems, Oscillators, P-N Junctions, Resonators, Capacitance, Coupling, Electric Potential, Inductance, Mathematical Models, Period Doubling, Power Spectra, Silicon Junctions
Scientific paper
Experimental data are employed as bases for theoretically modelling the behavior of a finite number of driven nonlinear coupled oscillators. Attention is focused on Si p-n junction resonators exposed to an external inductance. A junction oscillator displays period doubling, Hopf figuracions to quasi-periodicity, entrainment horns and breakup of the invariant torus. Calculated and measured data are compared, with favorable results, by means of Poincare' sections, bifurcation diagrams and parameter phase space diagrams for the drive voltage and frequency. Fractal dimensions 2.03 and 2.33 are expressed in Poincare' sections to illustrate the behavior of single and dual coupled resonators which experience a breakup of the strange attractor.
Jeffries Carson
van Buskirk R.
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